Posted by Anonymous on Wednesday, January 28, 2009 at 3:49pm.
I find it difficult to take the derivative of something that has a constant base with a variable as an exponent...and simplify it... PLEASE HELP ME!
f(x) = e^(x^(1))
f'(x) = 1(e^(x^(2))e^(x^(1))
f'(x) = e^(x^(2))e^(x^(1))
?????
and... f(x) = 3^x
f'(x) = 3^x

Math  Derivatives  Damon, Wednesday, January 28, 2009 at 4:22pm
d/dx e^u = e^u du/dx
here u = x^1
du/dx = 1 x^2
so
d/dx e^(x^1) = x^2 e^(x^1)
= (1/x^2)e^(1/x^2)
Try the others using that recipe:
d/dx e^u = e^u du/dx

Math  Derivatives  Anonymous, Wednesday, January 28, 2009 at 4:34pm
WOW that actually helps a lot and less confusing to solve! Thanks so much!
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